Question #148259
What is realtivsitic kinetic energy
1
Expert's answer
2020-12-10T11:10:46-0500

The relativistic kinetic energy is given by

Ekinetic=mc21v2c2mc2E_{kinetic} = \frac{mc^2}{\sqrt{1-\frac{v^2}{c^2}}} - mc^2

We see that it is a growing function of v2v^2 , is 0 for v=0v=0 and goes to ++\infty when vv approaches cc . We can even show that for vcv \ll c we have the classical expression of kinetic energy:

Ev/c0mc2(1+12v2c2)mc2=mv22E \underset{v/c\to 0}{\sim} mc^2 (1+\frac{1}{2}\frac{v^2}{c^2}) - mc^2 = \frac{mv^2}{2}

The relativistic kinetic energy have the same physical meaning: it is the energy of an object related to it's movement independently of a direction.


Need a fast expert's response?

Submit order

and get a quick answer at the best price

for any assignment or question with DETAILED EXPLANATIONS!

Comments

No comments. Be the first!
LATEST TUTORIALS
APPROVED BY CLIENTS